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Finding the Fourth Proportional to 14,113.14, 21,169.74 and 4,759.73

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Solution

The fourth proportional to 14,113.14, 21,169.74 and 4,759.73 is: 7,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.14 : 21,169.74 = 4,759.73 : x
  2. Step 2: Convert to fraction form
    14,113.14/21,169.74 = 4,759.73/x
  3. Step 3: Cross multiply
    14,113.14x = 21,169.74 × 4,759.73
  4. Step 4: Simplify right side
    14,113.14x = 100,762,158.70
  5. Step 5: Solve for x
    x = 100,762,158.70/14,113.14
  6. Step 6: Final answer
    x = 7,139.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.